The Wizard will bank this bet: 1/6 vs 1/11

[OnceDear]

First of all OnceDear you have to present the exact bet for analysis. The bet I had with the Wizard is not the bet described on this thread. Check the WOV forum for my bet. .....

Let's start with your own paraphrasing of that bet as per post 5 of THIS THREAD

Rob, it's spelled out. The only question is 9-for-1 or 9-to-1 and the Wizard says it doesn't matter to him.

Gone are the "old rules". This is a new bet and quite frankly I like it.

Let me answer your questions specifically and I am sure this will be the understanding:

1. Two dice are in a cup or other device, shaken and in the cup placed on the table.
2. A witness will peek. If a 2 is shown the bet is on.
3. If a 2 is not shown, there is no betting.
4. In both cases, the cup will be removed and the dice can be viewed. This will prevent the original dice from showing 2-2 and the witness lying.
5. With one deuce the bet is on (#2) and if there is not a second bet the "player" will lose their bet.
6. With one deuce the bet is on (#2) and if there is a second deuce the "bank" will pay either 9-to-1 or 9-for-1 (the Wiz doesn't care.)

My own personal thought: I can't imagine why the Wizard agreed to this? There is a 1/6 chance that when one die shows a 2 that the other will also be a 2 yet he is willing to pay 9-for-1 or 9-to-1.

Secondly there is a big difference between 9-to-1 and 8-to-1.

Indeed. But since wizard is a generous guy lets work with 9-to-1 as the offer.